Exercise #$3[8$ pts$]$

Consider a computer system with a $32-$bit logical address and $8-$KiB page size. The system supports up to $2$GiB of physical memory.

a$.[4$ pts$]$ How many entries are there in a conventional single$-$level page table? $($show your work$)$

b$.[4$ pts$]$ How many entries are there in an inverted page table? $($show your work$)$